Question

of the area of a Trapezium is 300 m square the perpendicular distance between the two parallel sides is 15 m if the difference of The parallel sides is 16 m find the length of the parallel sides

Answer 1

Area of a trapezium A is given by

A = 1/2 (a + b) h

If one side is a, the other side is 'a-16' since the difference of the parallel sides is 16

⇒ 1/2 (a + a - 16) x 15 = 300
1/2 (2a - 16) x 15 = 300 Multiply both sides by 2
(2a - 16)x15 = 600 Divide both sides by 15
2a - 16 = 40
2a = 56
a = 28
28 - 16 = 12

∴ The sides are 28 m and 12 m